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Finding the Fourth Proportional to 151,800.75, 209,488.37 and 83,817.54

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Solution

The fourth proportional to 151,800.75, 209,488.37 and 83,817.54 is: 115,670.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,800.75 : 209,488.37 = 83,817.54 : x
  2. Step 2: Convert to fraction form
    151,800.75/209,488.37 = 83,817.54/x
  3. Step 3: Cross multiply
    151,800.75x = 209,488.37 × 83,817.54
  4. Step 4: Simplify right side
    151,800.75x = 17,558,799,412.92
  5. Step 5: Solve for x
    x = 17,558,799,412.92/151,800.75
  6. Step 6: Final answer
    x = 115,670.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.